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Finding the Fourth Proportional to 21,566.34, 32,349.42 and 8,420.04

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Solution

The fourth proportional to 21,566.34, 32,349.42 and 8,420.04 is: 12,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566.34 : 32,349.42 = 8,420.04 : x
  2. Step 2: Convert to fraction form
    21,566.34/32,349.42 = 8,420.04/x
  3. Step 3: Cross multiply
    21,566.34x = 32,349.42 × 8,420.04
  4. Step 4: Simplify right side
    21,566.34x = 272,383,410.38
  5. Step 5: Solve for x
    x = 272,383,410.38/21,566.34
  6. Step 6: Final answer
    x = 12,630.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.